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A Generalized Meir‐Keeler‐Type Contraction on Partial Metric Spaces

Author

Listed:
  • Hassen Aydi
  • Erdal Karapınar
  • Shahram Rezapour

Abstract

We introduce a generalization of the Meir‐Keeler‐type contractions, referred to as generalized Meir‐Keeler‐type contractions, over partial metric spaces. Moreover, we show that every orbitally continuous generalized Meir‐Keeler‐type contraction has a fixed point on a 0‐complete partial metric space.

Suggested Citation

  • Hassen Aydi & Erdal Karapınar & Shahram Rezapour, 2012. "A Generalized Meir‐Keeler‐Type Contraction on Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:287127
    DOI: 10.1155/2012/287127
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    References listed on IDEAS

    as
    1. Erdal Karapınar & Uğur Yüksel, 2011. "Some Common Fixed Point Theorems in Partial Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    2. Hassen Aydi, 2011. "Some Coupled Fixed Point Results on Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-11, May.
    3. Erdal Karapınar & Uğur Yüksel, 2011. "Some Common Fixed Point Theorems in Partial Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-16, November.
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